The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups

Davis, James; Pearson, Kimberly

doi:10.1090/S0002-9939-03-06905-3

The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups
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by James F. Davis and Kimberly Pearson PDF

Proc. Amer. Math. Soc. 131 (2003), 3571-3578 Request permission

Abstract:

We prove the Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups, thereby giving necessary and sufficient conditions for a closed spin manifold of dimension greater than four with fundamental group cocompact Fuchsian to admit a metric of positive scalar curvature.

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